Orthogonality relations for deep level Deligne--Lusztig schemes of Coxeter type

DOI10.1017/FMS.2024.55arXiv2010.15489OpenAlexW4398210524MaRDI QIDQ6352538

Olivier Dudas, Alexander B. Ivanov

Publication date: 29 October 2020

Abstract: In this paper we prove some orthogonality relations for representations arising from deep level Deligne--Lusztig schemes of Coxeter type. This generalizes previous results of Lusztig (2004), and of Chan and the second author (2019). Potential applications include the study of unipotent representations arising from such deep level Deligne--Lusztig schemes, as well as their geometry, in the spirit of the work of Lusztig (1976).

Full work available at URL: https://doi.org/10.1017/fms.2024.55

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Linear algebraic groups over local fields and their integers (20G25)

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